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Finding the Fourth Proportional to 352.93, 529.27 and 106.06

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Solution

The fourth proportional to 352.93, 529.27 and 106.06 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.93 : 529.27 = 106.06 : x
  2. Step 2: Convert to fraction form
    352.93/529.27 = 106.06/x
  3. Step 3: Cross multiply
    352.93x = 529.27 × 106.06
  4. Step 4: Simplify right side
    352.93x = 56,134.38
  5. Step 5: Solve for x
    x = 56,134.38/352.93
  6. Step 6: Final answer
    x = 159.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.